3895800 has 96 divisors (see below), whose sum is σ = 12439680. Its totient is φ = 1008000.

The previous prime is 3895799. The next prime is 3895813. The reversal of 3895800 is 85983.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25725 + ... + 25875.

It is an arithmetic number, because the mean of its divisors is an integer number (129580).

Almost surely, 2^3895800 is an apocalyptic number.

3895800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3895800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6219840).

3895800 is an abundant number, since it is smaller than the sum of its proper divisors (8543880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3895800 is a wasteful number, since it uses less digits than its factorization.

3895800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 3895800 is about 1973.7781030298. The cubic root of 3895800 is about 157.3495666164.

The spelling of 3895800 in words is "three million, eight hundred ninety-five thousand, eight hundred".